Transformations on Parent Functions

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Describe the transformations of the absolute value equation.

• Vertical reflection, vertical compression, shifts right 1 unit

• Vertical compression, shifts up 1 unit

• Vertical reflection, vertical stretch, shifts right 1 unit

• Vertical reflection, vertical stretch, shifts up 1 unit

Which graph shows y=|x+2|+1

• A

• B

• C

• D

Which graph shows y=|x|−2

• A

• B

• C

• D

What is the equation of the graph below?

• f(x ) = I x + 2 I - 4

• f(x ) = -I x - 2 I + 4

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

Name the parent function.

• linear

• quadratic

• absolute value

• cubic

What is the equation of the graph below?

• f(x) = I x I -1

• f(x) = I x I +1

• f(x) = - I x I -1

• f(x) = -I x I +1

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2